Title
Error Estimation in Energy Norms: Is It Necessary to Fit the Mesh to Boundary Layers
Abstract
We demonstrate for two typical model problems that one observes uniform convergence of the Galerkin FEM on standard meshes with respect to the perturbation parameter in energy norms if the energy norm of the layers is small. Moreover, it is also possible only to resolve the strong layer using a layer adapted mesh but to do nothing concerning the weaker layer.
Year
DOI
Venue
2012
10.1007/978-3-642-41515-9_9
NAA
Keywords
Field
DocType
boundary layer
Polygon mesh,Mathematical analysis,Galerkin method,Uniform convergence,Finite element method,Boundary layer,Geometry,Perturbation (astronomy),Mathematics
Conference
Volume
ISSN
Citations 
8236
0302-9743
1
PageRank 
References 
Authors
0.46
5
2
Name
Order
Citations
PageRank
Hans-Görg Roos16816.44
Martin Schopf211.14